# Worksheet: Frequency Table

Q1:

The table shows the number of classes of varying sizes in a school. Using the data, complete the frequency table.

 Class Size Number of Classes 16 17 18 19 20 21 4 2 3 5 1 4
 Class Size Frequency 16-17 18-19 20-21
• A6, 5, 9
• B9, 9, 10
• C9, 8, 5
• D6, 8, 5

Q2:

The table shows the marks out of 10 that students scored in a test. How many students scored higher than the modal mark?

 Mark Frequency 5 6 7 8 9 10 3 1 18 12 10 5
• A4 students
• B45 students
• C22 students
• D27 students
• E18 students

Q3:

The table shows the marks of 100 students in a recent science exam. How many students received 40 marks or more?

 Mark Total Frequency 100 0–9 10–19 20–29 30–39 40–49 50– 6 15 12 26 23 18

Q4:

The given tally chart shows items sold at a school store. How many items were sold altogether?

 Item Tally Eraser Highlighter Pencil Scissors

Q5:

The tally chart shows a group of students’ favorite superheroes. Were fourteen students surveyed?

 Superhero Number of Students Wolverine Superman Wonder Woman Spider-Man
• Ayes
• Bno

Q6:

Michael conducted a survey to determine the favorite sandwiches of the students in his class. The results of the survey are shown in this tally chart. Which sandwiches are more popular than peanut butter?

 Type of Sandwich Tally Turkey Roast Beef Tuna Salad Peanut Butter Ham
• Bham, roast beef
• Cham, roast beef, turkey
• Dham

Q7:

The table shows the number of days each student has been absent. Use this data to complete the frequency table.

 6 4 0 5 4 2 2 2 6 4 1 3 2 6 6 3 0 1 6 1 4 5 0 4 6 1 3 6 3 1 1 5 2 6 3 5 1 6 6 0
 Number of Days Absent Frequency 0 1 2 3 4 5 6
• A
• B
• C
• D
• E

Q8:

The frequency table below shows the weights of 40 students in a class. How many students weigh less than 50 kg?

 Weight, Total Frequency 40 𝑤 30– 35– 40– 45– 50– 5 8 12 9 6

Q9:

The table shows the weekly wages of 30 workers in a factory. By forming the frequency table using the intervals 30–39, 40–49, 50–59, 60–69, 70–79, 80–89, and 90–99, find which interval has the highest frequency.

 43 47 43 99 54 47 53 100 46 97 50 41 36 72 38 37 80 46 74 74 30 34 32 97 90 35 68 87 78 30
• A50–59
• B40–49
• C60–69
• D30–39

Q10:

The table shows the heights of 100 students in a school. How many students’ heights are greater than or equal to 120 cm?

 Height (cm) Total Number of Students 100 115–119 120–124 125–129 130–134 135–139 140–144 145– 12 12 20 16 12 10 18

Q11:

The table of numbers shows the marks of 30 students in a mathematics exam.

 25 37 31 39 26 23 27 31 20 33 35 37 23 37 21 33 24 27 36 27 32 26 30 37 25 31 32 21 28 32

Using this data, complete the frequency table.

 Marks Total Frequency 30 20–23 24–27 28–31 32–35 36–
• A3, 7, 5, 8, 7
• B6, 8, 7, 4, 5
• C4, 7, 4, 3, 5
• D5, 8, 5, 6, 6
• E6, 9, 8, 7, 6

Q12:

The table shows the marks of 60 students in a science exam. How many students failed the test given that the pass mark was 30?

 Marks Total Frequency 60 0–9 10–19 20–29 30–39 40–49 50– 3 18 10 8 15 6

Q13:

Benjamin recorded the number of glasses of juice he sold in his neighborhood each day in this tally chart. Which day has the same number of tally marks as Monday?

 Day Tally Monday Tuesday Wednesday Thursday Friday
• AThursday
• BWednesday
• CTuesday
• DFriday

Q14:

Using the data given for number of absences, complete the frequency table.

 7 10 7 8 5 1 2 7 6 2 4 3 2 8 5 6 5 8 9 8 2 1 10 9 10 9 10 3 9 7 7 8
 Number of Absences Frequency 1-2 3-4 5-6 7-8 8–10
• A
• B
• C
• D

Q15:

Complete the frequency table which shows the marks a group of students received in a test.

 Marks Total Frequency 50 20–24 25–29 30–34 35–39 40–44 45–49 50– 4 5 15 9 10 4

Q16:

The table shows the marks that a class of students received in a mathematics test. How many students got less than 45 marks?

 Marks Total Number of Students 44 20–24 25–29 30–34 35–39 40–44 45–49 50–54 55– 7 8 2 5 6 5 9 2

Q17:

The table shows the marks that a class of students received in their mathematics test. How many students are in the class?

 Marks Frequencies 0–1 2–3 4–5 6–7 8– 8 4 5 2 10

Q18:

The tally chart shows the marks that students in a class received in a mathematics test. Using the information from the tally chart, complete the frequency table.

 Classes Tally 5– 10– 15– 20– 25–
 Classes Frequency 5– 10– 15– 20– 25– ⋯ ⋯ ⋯ ⋯ ⋯
• A
• B
• C
• D
• E

Q19:

Which of the following survey questions is least biased?

• AHow often do you manage to drink water rather than sodas during meals?
• BDrinking sodas during a high-protein meal has been shown to decrease metabolic efficiency, which may prompt the body to store more fat. How often do you drink sodas during meals?
• COn a scale from 1 to 10, how do you rate the frequency and quantity of sodas you drink during meals?
• DFor each of the beverages given, indicate how often you drink them during meals.

Q20:

The table of data shows the heights in centimeters of teachers at a school. Using a frequency table, find the number of teachers who are 175 cm or more.

 179 169 193 171 163 186 178 173 167 166 195 156 163 190 171 195 156 186 187 159 172 169 184 195 159 168 179 155 178 162 174 167 193 177 159 179 162 189 163 182 181 167 189 173 187 159 170 186
• A6 teachers
• B32 teachers
• C7 teachers
• D22 teachers
• E16 teachers

Q21:

Identify the source of bias in the question: “Do you believe the government should implement measures proposed by the opposition which would ensure that everyone in the country has access to good health care services?”

• Atwo questions in one
• Bquestion preface
• Dbiased wording (or leading question)

Q22:

Is the following a survey, an observational study, or an experiment?

A group of students wanted to find out what type of music their schoolmates listen to. They asked their fellow students at random during break time about the types of music they liked and recorded the answers.

• Aexperiment
• Bobservational study
• Csurvey

Q23:

The table shows the number of days taken off work by 40 workers in a year. By constructing a frequency table or otherwise, calculate the number of workers who took 20 or more days off work.

 16 18 5 20 15 26 12 17 8 5 5 12 26 30 23 22 21 30 25 21 27 15 12 28 11 12 26 12 13 23 6 29 28 5 20 12 10 24 23 14

Q24:

The tally chart shows the marks students received in a mathematics test. How many students received less than 10 marks?

 Mark Frequency 5–9 10–14 15–19 20–24 25–29

Q25:

The tally chart shows the results of a survey to find the favorite subject in a class. What subject is the least popular?

 Subject Tally Mathematics Science History Art Music
• Ahistory
• Bscience
• Cmathematics
• Dart
• Emusic